Question

Graph the piecewise function.

Answer 1

Answer: First Option is correct.

Explanation:

Since we have given that

\begin{gathered}f(x)=-x+1,x < 0\\\\f(x)=x+1,x\geq 0\end{gathered}

f(x)=−x+1,x<0

f(x)=x+1,x≥0

If we let f(x)=y

then, y=x+1 and y=-x+1

Put x=0,

\begin{gathered}y=0+1\\\\y=1\end{gathered}

y=0+1

y=1

so, there must be coordinate on y -axis at 1.

and it must take Ist and II nd quadrant .

Hence, First Option is correct.